The Comparison some 1-Parameter Models such as Lindley (LL), Sujatha (SJ), Amarendra (AR), Devya (DV), and Shambhu (SB) Distribution for Duration Diabetes Data (YEARS)

This study examined the probability of death using survival data of individuals with diabetes. The main objective of this study was to identify the most appropriate distribution to represent the survival time of patients with diabetes from 50 individuals in the Bengkalis area using 1-parameter probability modeling, such as the Lindley (LL), Sujatha (SJ), Amarendra (AR), Devya (DV), and Shambhu (SB) distributions. The maximum likelihood method was used to estimate the parameter values of the distributions used in this study. In addition, graphical assessment (density-density plots) and numerical criteria (Akaike’s Information Criterion (AIC), -2 log likelihood (-2*l)) will be used to determine the most appropriate model. In most cases, the results obtained from the graphical assessment were consistent but differed from the numerical criteria. The model with the lowest AIC value (-2*l) is selected as most appropriate. Overall, the Amarendra and Devya distributions were identified as the most appropriate models.